Research Article

Solution of the Porous Media Equation by a Compact Finite Difference Method

Table 3

The absolute errors for various values of 𝑥 and 𝑡 for 𝑁 = 1 1 , = 0 . 1 , Δ 𝑡 = 0 . 0 0 0 1 in Example 3.3.

𝑥 𝑡 Absolute error

0.100.017.05E-13
0.101.01E-12
1.002.91E-11

0.500.011.07E-13
0.102.09E-13
1.003.72E-12

0.900.011.26E-12
0.101.73E-12
1.003.68E-11